The Kaleidoscope filter applied to Chrome 4ı
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1 The Kaleidoscope filter applied to Chrome 4ı By John A. Hiigli Alessandro Segalini Stephen Weil
2 The Kaleidoscope filter As a collaboration with artist John A. Hiigli, I applied the Kaleidoscope filter to his < Chrome 41 >, the six times rotated cube octahedron, through the software GraphicConverter 5.7. This filter is part of the Mac OS 10.4 CI, Core Image Filters. Core Image is an extensible architecture built into Mac OS X v10.4 for near real-time, pixel accurate image processing of graphics as well as video. You can perform several types of operations by using filters that are bundled in Core Image (or that you or another developer creates). There are 13 types of effects in CI Filters: Blend Mode Filters, Color Adjustment Filters, Color Effect Filters, Compositing Filters, Distortion Effect Filters, Focus Filters, Generator Filters, Geometry Adjustment Filters, Gradient Filters, Halftone Effects Filters, Stylize Filters, Tile Effect Filters, Transition Filters. Most filters have one or more input parameters that let you control how processing is done. Each input parameter has an attribute class that specifies its data type, such as NSNumber. An input parameter can optionally have other attributes, such as its default value, the allowable minimum and maximum values, the display name for the parameter, and other attributes. Tile effect filters typically apply an effect to an image and then create smaller versions of the image (tiles), which are then laid out to create a pattern that s infinite in extent: kcicategorytileeffect = Tile effect, such as Affine, Op, Parallelogram, Triangle and of course Kaleidoscope. The CI-Kaleidoscope filter produces a kaleidoscopic image from a source image by applying 24-way symmetry. That says that the filter repeats a 15-degree wedge from the input image (centre), subsampled to a maximum of π/32. In GraphicConverter, by default, the rendering area has its center as [x.y.] pixel. The Filter works at 72 ppi resolution, that means the preview is only exact at 100%. You can of course change the location of the graphic by opening its inspection panels, and adjusting the canvas size, or in advance through other softwares. So, basically, the Kaleidoscope parameters are three: 1. Count (number of symmetric repetitions, NSNumber ), range from 1. to 64.; 2. Center (input image, CIVector ); 3. Angle (input angle, NSNumber ); the default value is 0.0., the range is from 0.0. to 2π (most Core Image filters that take an angle as a parameter expect the value to be in radians, rather than degrees). On John Hiigli s < Chrome 41 > piece I applied the following values to the bottom left part of the painting: Count = 12 Center = 450, 450 Angle = 0,067 π (12 degrees) The black and white version of the image is rendered through the Halftone Filter in Adobe Photoshop. I also suggest to use LiveQuartz ( or imaginator ( to explore the Tiling Filters in Mac OS Other programs which use CI Filters are Quartz Composer and Core Image Fun House, optionally installed (Mac OS X v10.4 and later) with the Developer package from the OS CD; here s the path: XCodeTools ƒ > Packages ƒ > DeveloperTools.pkg > Graphic Tools. Alessandro Segalini
3 Chrome 4ı Chrome 041 is a space filler since its basic component, only one, is a regular rhombus, which is nested (in hexagonal clusters) infinitely. The result is a series of seven nuclei like clusters in which six of said nuclei circle about one. The paper will demonstrate how the space filling rhombs were developed from Fuller s Powering Models and evolved into a periodic tiling of the plane, or tessalation. This tiling is characterized by 6-fold symmetry. Then the paper will detail and illustrate the results of Dr. Alessandro Segalini s application of the Kaleidoscope Filter to Chrome 041. The tile filter applies an effect to the core image of Chrome 041. This effect produces a kaleidoscopic image from the source image by applying, in this case 12-fold symmetry. The Kaleidoscope Filter repeats a 30-degree wedge from the input image (center) by creating a mirror image of the original through reflection, or a 180 degree flip. These smaller versions, of identical size and shape can be thought of as slices, wedges, or tiles. This procedure is repeated and these smaller versions, of identical size are laid out to create a pattern, or tiling until there are a total of 12 wedges (six positive and six negative), completing the circular (rotational) arrangement. Two paintings will be exhibited: the original painting Chrome 041 and the K.041 Application. This work is thought to be relevant to the study of Symmetry; several types of which are found in the source work and in the secondary application. Chrome 041 is an opaque oil painting 278 X 313 centimeters. The K.041 image will be a print and somewhat smaller (approximately 122 X 122 centimeters), probably displayed as a canvas on aluminum and wood stretchers. John A. Hiigli
4 01. Tetrahedron = ı st power model = ı
5 02. Octahedron = 2 nd power model = 4
6 03. Cuboctahedron = 3 rd power model = 8
7 04. 4 th power model = = ı6
8 05. Split image
9 06. Explosions of 4 th power model
10 07. Image from Virus painting series
11 08. Single split image 09. Rotation ı
12 ı0. Rotation 2
13 ı ı. Rotation 3
14 ı2. Rotation 4
15 ı3. Complete (centre) cluster
16 ı4. Further explosion Reflection
17 ı5. Further reflection
18 ı6. Further rotation
19 ı7. Complete rotation 6 around ı
20 ı8. Chrome 4ı
21 .. Alessandro Segalini, Dept. of Visual Communication Design: ieu.edu.tr ht tp://tr.im/asegalini Kaleidoscope414ı 19. ı9. KALEIDOSCOPE In October 2005 my colleague Dr Alessandro Segalini applied the Kaleidoscope filter to <Chrome 41> through the software GraphicConverter 5.7, Mac Core Image Filters. This architecture allows one to perform operations using filters bundled in core imagery. The filters have input parameters that allow the user certain controls. CI Kaleidoscope filter is used to produce a kaleidoscopic image from the source image (Chrome 041). By applying 24-way symmetry the filter repeats a 15 degree wedge from the input image (center). Values were applied to the lower left hexagon cluster of Chrome 041.
22 20. Count 6, Angle 0
23 2ı. Breakdown part and tiles
24 22. Breakdown whole
25 23. Count 6, Angle 60 UI (user interface) and perspective
26 24. Painting
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