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c RE-INVENTING FOURIER Fig. 1. Fourier spectrogram of a 1.5-second extract of a soundscape recorded at a train
sa Jean-Julien Aucouturier, Temple crossing in Tokyo, Japan. Regular vertical lines correspond to the ring of the signal. At n
a time 5.2, one can see an isolated bird call. (© JJ. Aucouturier.)
r University Japan, Tokyo, Japan. t E-mail:
Submitted: 17 January 2009
Abstract Artists asked to represent sound in a visual way mysteriously re-invented many of the concepts that preside over the mathematical signal transforms used in computer music. Their drawings adopted a systematic 2-dimensional structure and sometimes resembled time-frequency representations such as the Fourier transform. This makes us ponder here over the different criteria of what makes a “good” computer representation for the scientist, and what makes a “good” visual work for the artist.
A sound waveform, when recorded in digital format, contains a lot of details: everything needed to play the sound with high-fidelity. Too much detail in fact, as it is nearly impossible to understand what the sound is by looking at it. This is a bit like looking at a very high- definition image by zooming very close: we loose the big picture. If we want to see and make anything useful with sound, left end have a low frequency (“bass”). mood (happy or sad), most of which are we need to find another representation, a The Fourier transform (more precisely, a impossible to calculate for a computer. “transform” that changes the sound file spectrogram of short-time fast Fourier Conversely, FFT shows a property of into something simpler, something of transforms FFT) shows time horizontally sound, “frequency”, that humans cannot which we can make more sense. Com- and frequency vertically. A FFT contains easily understand. We do not hear fre- puters can do many sound transforms, a lot of information. It reveals things that quency (we hear pitch, which is quite a the most famous of which is the Fourier are nearly impossible to hear: when our different construct in the case of every- transform. th computer produced the FFT representa- day sounds [1]). The only reason com- Joseph Fourier is a 18 -century tion shown in Fig. 1, we could see puters do FFTs is because they can: the French physicist who invented a way to clearly (with a little practice) a bird call work of Fourier and others has yielded calculate the many simultaneous) speeds at time 5.2 (3 superimposed inverted-V algorithms to let computers find/ at which a phenomenon repeats itself. shapes), which took us several minutes calculate these frequencies. For sound, these frequencies notably tell to hear even after we knew it was there. The art students involved in the us how high a given note sounds: the We (humans) tend to describe sounds Sound/Mindscape workshop (held in Art notes at the right end of a piano have a in many ways: their color, brightness, Center Ongoing, Tokyo, Nov. 26-31, high frequency (“sharp”), those at the their timbre (piano or clarinet), their 2008 [2]) did not know about Fourier, Fig. 2. A participant of the workshop sound/mindscapes painting a visual representation and they didn’t know about computers. of a soundscape while listening to it in real-time. (Artist: R. Sakiya, © JJ. Aucouturier.) When asked to represent a long sequence of sounds in a visual way, they reached for the paper and they painted (Fig. 2). They explored different ways to trace sounds. After a while, they decided to try out some “rules” (like the rules of a game), i.e. time should go from left to right of the page, size of the brush should be proportional to the amplitude of the sound, etc. (Fig. 3) After a long experimentation, they presented one way to draw sounds with which they were particularly happy. From left to right – they explained – is the time, and from the bottom to the top of the page is the height of the sound. I gasped. They had re-inventing Fou- rier. Before my eyes was a human render- ing of a FFT spectrogram (Fig. 4), splashes of paint drawn in synchroniza-
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tion with the sounds, representing them Fig. 4. “Sound transforms” created by the workshop participants, painted in real-time c
in a time-frequency space. while listening to 3-minute soundscape recordings. Paintings were constrained to have a sa precise 2- dimensional structure, agreed in advance between participants (water color on n Then I realized my mistake. It wasn’t a r
paper, © T. Murase, Y. Inagaki, 2008. Photographs © JJ. Aucouturier ) t frequency. When the artists talked about “sound height,” they really meant this: height as in how many meters in the air the sounds come from. Birds, HIGH in the sky; underground train, way down beLOW. What I was looking at was a time-height representation. Surprisingly close to Fourier frequency on a linguis- tic level, but a different concept alto- gether. Of course. I wasn’t talking to com- puters. Nevertheless, their painting had an intriguing appeal. It was well organized, something scientists since Claude Shan- characterizing the properties of their the high/tall sounds balanced by a con- non can measure in a very precise way. chosen representation, compared to their tinuous stream of low sounds (which Here, hours of artistic research were previous, less interesting attempts. Do turned out to be footsteps), evenly dis- eventually favoring the time-height you optimize the space coverage (think tributed in time, yet not boring, thanks to transform. Why? What does this trans- of maximum-entropy spectral estimation the occasional random occurrence of a form (which the artists called a “rule”) [3])? The distribution of color? Of stroke stroke here and there. The rules brought do that other alternatives do not achieve? size (think of sparse transforms [4])? The some things out of the sound, made them Why set down for this and not, say, loud ability to visualize both small events and come real and visual in a very unique sounds from left to right and bright global scenes (think of wavelet trans- way. I could feel why the artists were sounds from bottom to top? The goal is forms [5])? satisfied with this “transform.” It was as not information – since the representa- They giggle and resist what they satisfying for them as a Fourier trans- tion is not meant to be processed nor to probably view as my attempt to find a form is for me. be useful. Beauty? I suspect it’s not just magic formula for art. I’m not. I’m sin- There, decades of computer research beauty – this would be a very limited cerely trying to understand, not to reduce. have favored the Fourier transform, for a vision of artistic research. Harmony? Maths is probably not the right way, I’m purpose. The representation it provides is Interestingness? Artists are reluctant to willing to admit. But what else would we highly informative. It is compact, easy to define the goal of their practice, yet they have? What other option? Precisely? understand, characterizes sounds pre- talk a lot about “it.” They talk about This is important, I thought; this is cisely without drowning them in a haze “cheap” representations (too obvious? crucially important. It felt like a very of unnecessary details. With a FFT, one too objective?). They talk about honest rare instant of contact between my world can identify bird songs, find the precise piece of work (as in revealing some sin- and their world, something that, if we time of appearance of a plane, count how cerely felt subjectivity). What precisely? can sustain it long enough, could change many trains in a day, or even transcribe Why time and height? Provocatively, I the way I do science and the way they do the notes of a musical melody. It carries try to write a mathematical formula art. an optimal amount of information – Fig. 3. Working documents showing the rules used to paint visual representations of Workshop participants: Shoya Arai, Jean- sound. Each line gives the extreme values of a dimension axis, with its favored orienta- Julien Aucouturier, Cathy Cox, Tadasuke Go, Taka- tion: 1–time (horizontal), 2–pleasing vs disagreeable (horiz.), 3–far vs close (vertical), 4– shi Hamada, Tomohiko Hayakawa, Lindee Hoshi- large vs small (vert.), 5–high vs low position (vert.), 6–unsettling vs calm (horiz.), 7– kawa, Hideaki Idetsuki, Yu Inagaki, Jess Mantell, organic vs artificial (horiz.), 8 note height low vs high (vert.). On the right side, a ma- Toshi Murase, Ai Nagashima, Rie Sakiya, Jaehwa – Shin, Shintaro Soma, Nao Tokui. trix is used to combine the dimensions into 2-dimensional representations in a system- atic way (© T. Murase, Y. Inagaki, 2008. Photo © JJ. Aucouturier) References and Notes 1. Ives, D.T. and Patterson, R.D. (2008). “Pitch strength decreases as F0 and harmonic resolution increase in complex tones composed exclusively of high harmonics,” J. Acoust. Soc. Am., 123(5). 2. Sound/Mindscapes workshop and exhibition, Art Center Ongoing, Kichijoji, Tokyo, Japan, Nov. 26th~Dec.7th. Organized by JJ. Aucouturier and H. Idetsuki.
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c THE MONUMENT PROJECT views available from the top to those
sa (SI MONUMENTUM REQUIRIS Albert Museum in London. The continu- who were unable (or unwilling) to climb n
a IRCUMSPICE ously refreshed images of the famous the 311 stairs to the observation plat- r C ) t window at the abbey were projected full form, and I wanted to explore the poten- Chris Meigh-Andrews, Electronic & size in the London Museum, providing a tial for a work that would respond to the Digital Art Unit, University of Central digital link between the two sites bridg- surrounding and ever-changing weather Lancashire, Preston PR1 7BS, England ing the geographical and temporal space conditions and provide high-definition E-mail: [email protected] between the original image and the site panoramic images of the view for dis- of its creation. play on a video screen located at the base Submitted: 16 April 2009 of the Monument and to make an image- The History of The Monument stream available on the Internet. The Abstract The Monument to the Great Fire of Lon- brief also stipulated that the installation This paper describes the concepts, ideas, back- don, designed by Wren and Hooke and should be capable of providing updated ground and operations of The Monument Project (Si completed in 1677, is the largest free- Monumentum Requiris Circumspice), a digital images 24 a day, seven days a week and video installation that produces a continuous stream standing stone column in the world. It be operational for three years! It was of weather-responsive panoramic images from the stands 211 ft high and is sited in the clear to me that this challenging project top of the Monument in the City of London. The heart of the financial hub of London near work, which was commissioned by Julian Harrap would require a knowledgeable and Architects, was part of a £4.5 million refurbishment to the river Thames. Credited to Wren, skilled collaborator. I worked closely of the 17th-century landmark, designed by Sir who as chief architect to King Charles II with media technologist Onno Baudouin Christopher Wren and Dr. Robert Hooke to com- memorate the Great Fire of London in 1666. oversaw the project, it is now understood at Sandbox, a digital media R&D lab at to be mostly the work of his friend and the University of Central Lancashire, and Background associate, the scientist and polymath we considered a number of options be- In 2007, as a result of my previous work Robert Hooke, who was at that time the fore selecting a robust and reliable digi- in Grizedale Forest, in the English Lake city surveyor. Both Hooke and Wren tal stills camera to provide the images District, I was approached by London- were accomplished scientists as well as for the project. Onno developed eight based Julian Harrap Architects to de- architects, and the design and construc- different custom software programs for velop a new video installation for The tion of the Monument reflects the com- the installation including camera control Monument in the City of London. The plex nature of their interests. and the manipulation of the image output earlier installation, Interwoven Motion It is now clear that the Monument had of the camera, all remotely accessible via (2004), involved mounting a circle of a dual function; in addition to its role as the Internet. The image stream from the solar- and wind-powered web cams at a commemoration of the great fire and camera is modified in real time by mete- the top of a tall tree overlooking Lake the resurrection of the city in its after- orological information about the wind Coniston, at a site with a view favoured math, the Monument was also a huge speed and direction, air temperature and by the Victorian critic and writer John scientific instrument [1]. Both men were barometric pressure. Ruskin. This work was the development active members of the Royal Society, of a number of previous gallery-based and both had experimented extensively installations in which I explored and with optics. Wren had made his reputa- developed relationships and associations tion as an astronomer before becoming Fig. 2. The Monument of the Great Fire ( Photo © Chris Meigh-Andrews) between the site or location of the work an architect, and Hooke had published and the history of imaging technologies. one of the earliest books on microscopy For example, For William Henry Fox and had previously built a zenith tele- Talbot (the Pencil of Nature), (2002) scope at his lodgings [2]. The two men relayed a stream of solar-powered live ensured that the design of the Monu- digital images of the famous oriel win- ment, whilst fulfilling its main purpose dow at Lacock Abbey in Wiltshire—the as a landmark and memorial, would also subject of the world’s earliest surviving enable them to continue their experi- photographic image to the Victoria and ments. The base of the Monument con- tained a small room for an astronomer to Fig. 1. A circular panoramic image from the installation.(© Chris Meigh-Andrews) gaze at the night sky. The hollow shaft of the Monument, ascended by a spiral staircase of precisely equal spacing, was ideal for conducting experiments with pendulums and for measuring the effects of gravity and barometric pressure.
The Project Fascinated by the dual function of the structure, I decided to develop a work that referenced its scientific and histori- cal significance and its role as a Monu- ment sited in the centre of London. The architect’s brief required that the instal- lation provide access to the magnificent
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Fig. 3. The weatherproof camera housing ti THE MONUMENT PROJECT views available from the top to those image is sent from the camera (via ment. In total there are eight different c and weather station installed at the top of (SI MONUMENTUM REQUIRIS Albert Museum in London. The continu- who were unable (or unwilling) to climb ethernet) the previous image is dropped. computer programs running simultane- sa the Monument ( Photo © Chris Meigh- n IRCUMSPICE ously refreshed images of the famous the 311 stairs to the observation plat- a C ) Andrews) This results in a continuous, but ever ously. If for any reason one element fails r window at the abbey were projected full form, and I wanted to explore the poten- changing 24-hour time-lapse sequence. to work, the system has been designed to t Chris Meigh-Andrews, Electronic & size in the London Museum, providing a tial for a work that would respond to the Each time a weather condition changes, continue to display the last available Digital Art Unit, University of Central digital link between the two sites bridg- surrounding and ever-changing weather this affects the video images in real-time image. The system was also designed to Lancashire, Preston PR1 7BS, England ing the geographical and temporal space conditions and provide high-definition using GPU shaders that affect contrast, kill any applications that stop working E-mail: [email protected] between the original image and the site panoramic images of the view for dis- brightness, image rotation and colour- and to autorestart them. of its creation. play on a video screen located at the base levels. The software was written by Submitted: 16 April 2009 of the Monument and to make an image- Onno Baudouin using C++, Python, C# References and Notes The History of The Monument stream available on the Internet. The and PHP and OpenGL in a native 64bit 1. Leo Hollis, The Phoenix: St Paul’s Cathedral Abstract The Monument to the Great Fire of Lon- brief also stipulated that the installation and the Men Who Made Modern London (London, Windows application. All programs UK, Weidenfield and Nicolson, 2008.) This paper describes the concepts, ideas, back- don, designed by Wren and Hooke and should be capable of providing updated communicate via a custom-built TCP/IP ground and operations of The Monument Project (Si completed in 1677, is the largest free- images 24 a day, seven days a week and 2. Lisa Jardine, The Curious Life of Robert Hooke; Monumentum Requiris Circumspice), a digital protocol. The operating system runs the Man Who Measured London (London, UK, video installation that produces a continuous stream standing stone column in the world. It be operational for three years! It was from an SSD for reliability. All images Harper Collins, 2003.) of weather-responsive panoramic images from the stands 211 ft high and is sited in the clear to me that this challenging project produced by the camera system are top of the Monument in the City of London. The heart of the financial hub of London near Editor’s Note: See
The Project Technical Operations Fascinated by the dual function of the Both the circular and “unwrapped” out- structure, I decided to develop a work put image modes use a hi-spec PC. The that referenced its scientific and histori- images are stored in 16GB of memory cal significance and its role as a Monu- (FBDIMM) in a compressed format at ment sited in the centre of London. The 2048x2048px. Depending on the wind- architect’s brief required that the instal- speed these are bitted at over 60FPS to a lation provide access to the magnificent VGA or DVI output. Each time a new
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ti Reynolds [3]; the language that suffices human subjectivity. I mention three c EMERGENCE AND GENERATIVE
sa ART to describe the behavior of an individual such. n
a bird does not have the appropriate cate- r t Gordon Monro, c/- CEMA, Faculty of gories for discussing the behavior of the Emergence relative to a model: The Art and Design, Monash University, 900 flock. For example, a flock can divide to system deviates from my model of it. Dandenong Road, Caulfield East, VIC pass an obstacle, an individual bird can- Unfortunately the phrase “emergence 3145, Australia. E-mail: not. The idea that new categories are relative to a model” has been used in two
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the system’s design stated in L1 and his ti question reposes ... on how evanescent book Emergence by Holland [16] is c contemporaneous observation of the the surprise effect is” [12]. largely about adaptive systems. Yet Ima sa system’s behavior stated in L2. n a
I think that surprise is a necessary but Traveller, a successful art work exhibit- r This definition manages to involve ca- not sufficient condition for emergence. ing emergence, is not adaptive at all. t tegorical emergence and the loose sense The behavior should be unobvious, so What separates Ima Traveller from the of emergence relative to a model, as well that when we first encounter it we are Spirograph-like art criticized by Vorn is as the reaction of an observer. Ronald et surprised. But even when the behavior is just the surprise-wonder-mystery- al. draw an analogy with the Turing test no longer new to us, it should still gener- autonomy test. for intelligence, which also requires an ate a sense of mystery or wonder. I consider that the definition of gen- observer. “Wonder” and “mystery” are not syn- erative-art emergence given here comes onymous: for me the Eiffel Tower is closer than previous definitions to cap- Frankensteinean emergence: Where wonderful but not mysterious; any com- turing what artists are looking for under the system outdoes its creator. puter programmer can report on observ- the name of emergence. The definition The idea that a machine can outdo ing mysterious behavior that is the also enables a finer-grained analysis of humans in an activity that has previously opposite of wonderful. the reasons that an artwork may fail to be been a prized attribute of humanness can The last component of the complex I classified as emergent. give rise to extravagant emotions. For call autonomy. Associated with emer- example, Douglas Hofstadter was deeply gence is the idea of “going beyond,” References and Notes disturbed by the new Chopin mazurka transcending origins or a framework. 1. Philip Galanter, “What Is Generative Art? Com- composed by David Cope’s EMI com- Thus Mark Bedau [13] says: plexity Theory as a Context for Art Theory,” in 6th puter program [10]. International Conference, Exhibition and Perform- 1. Emergent phenomena are somehow ances on Generative Art and Design (GA 2003), constituted by, and generated from, Milan. Available online via
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c PROCESSPATCHING, DEFINING are as great as those of the artists who the arts without being formalised as a
sa NEW METHODS IN ART&D supply the ideas, concepts and in par- method. The term Processpatching is n
a ticular the motivations. chosen as an associative, connecting r Anne Nigten, Director, The t Patchingzone, and former manager, —Brouwer, Fauconnier, Mulder, Nigten [1] approach, which is similar to the process V2_Lab, Rotterdam, the Netherlands it describes. It is typical of many art and Email:
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tion. The reference table is used to in- from the V2_Lab [5]. The Patching Zone Future Work c
form the collaborators about the back- promotes the strength of art and design Future studies on this subject, as an ex- sa n
grounds of the other participants and practice as a valuable contribution to exist- a tension of this research, should lead to an r thus about the expected methods and ing R&D. The Patching Zone combines the aRt&D handbook for project managers, t approaches. It provides a map of the background theory from this PhD study teachers and students in the field. Pro- bodies of knowledge and expertise rep- with today’s transdisciplinary collaboration ject management topics and methods are resented in any given cross-disciplinary discourse as outlined in “Transdisciplinar- to be included as well in this future pub- team, and thus aims to lay the ground- ity: recreating integrated knowledge” by lication. This research can also be further work for a future aRt&D framework of Somerville and Rapport (editors). [6] The developed into a practical guide for pro- use to future scholars and practitioners transdisciplinary model is different from a fessional artists, technicians and scien- alike. I would like to emphasise that the multidisciplinary model, as it moves be- tists. Based on today’s practice, this aRt&D Matrix is free to extend the proc- yond the mixing of fields and leads to a research also offers the basis for a toolkit esspatching references in the aRt&D new hybrid between the disciplines. This to enhance today’s interdisciplinary Matrix with your favourite methods and conceptual space between the disciplines is practice. I suggest further development approaches! a new field or are new fields, where meth- of the aRt&D triangle as a digital tool for The aRt&D triangle is a small concep- ods are mixed or given new input, where direct practical use for those who plan to tual tool that assists the team members in all disciplines benefit and take the relevant start a multi-, inter- or trandisciplinary the first project initiation phase; it en- parts of the generated knowledge back to collaboration. The provided overview in ables the team to think and re-think their own disciplines; (temporary) migra- the aRt&D Matrix could be used to up- where they come from before they move tion to other disciplines is possible but not date and upgrade the status of electronic to the aRt&D Matrix. The tool is clear the main objective. This conceptual space artwork in an interdisciplinary setting and useful in that it succeeds in inform- between the disciplines could be inter- with technicians and computer scientists. ing the collaborators about each other’s preted as a “neutral” space, which is not It is recommended to use this research backgrounds (D,E,J). It also visualises governed by a specific discipline or dis- material in the course of positioning art the distance between the knowledge course. This is closely related with Marcos in the collaboration process with com- domains represented by the collabora- Novak’s transvergence [7] concept, where puter science and other disciplines. tors. It indicates roles for possible me- he considers the space between the disci- diators or multi taskers in the team and it plines as a separate entity. This space References and Notes indicates shared knowledge fields. It serves as an “interface,” providing room provides a clear map of the knowledge for cross-disciplinary experiments. The 1. Brouwer Joke, Mulder Arjen, Nigten Anne (edi- and expertise represented in the team. space between the disciplines is a natural tors): aRt&D, Research and Development in Art, playground for critical, practice-oriented published by Nai-V2_ 2005. ISBN 90-5662-389-3. Fig.1. aRt&D Triangle. (© A. Nigten) research and development in human- 2. Nigten, Anne, Processpatching, defining New Methods in aRt&D,
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