COMPUTER GRAPHICS CS 482 – FALL 2014 OCTOBER 6, 2014 TEXTURE MAPPING TEXTURES BUMP MAPPING ENVIRONMENT MAPPING PROCEDURAL TEXTURING

TEXTURES CS 482 – FALL 2014 BASICS OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 149 MAPPING A PATTERN ONTO THE OBJECTS’ SURFACES CAN GREATLY ENHANCE THE SCENE’S APPEAL AND/OR REALISM.

TEXTURES CS 482 – FALL 2014 UV COORDINATES OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 150 ONE APPROACH TO TEXTURE MAPPING DIRECTLY MAPS THE 2D TEXTURE COORDINATES (CALLED UV SPACE) INTO THE 3D WORLD SPACE COORDINATES. CYLINDRICAL MAPPING SPHERICAL MAPPING PLANAR MAPPING

TEXTURES CS 482 – FALL 2014 TILING OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 151 WHEN THE SURFACE BEING TEXTURED IS MUCH LARGER THAN THE IMAGE BEING MAPPED, IT IS POSSIBLE TO TILE THE IMAGE REPEATEDLY OVER THE SURFACE. CARE MUST BE TAKEN TO DEVELOP IMAGES THAT DO NOT PRODUCE DISCERNIBLE SEAMS OR PATTERNS WHEN TILED. THE SEAMS AND PATTERNS ARE MORE NOTICEABLE IN THE TILED HEDGE IMAGE ON THE LEFT THAN THE ONE ON THE RIGHT.

BUMP MAPPING CS 482 – FALL 2014 ADJUSTING NORMAL VECTORS OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 152 TO ADD MORE REALISM TO A TEXTURE-MAPPED IMAGE, AN ADDITIONAL ACTION, KNOWN AS A BUMP MAPPING, CAN BE APPLIED TO THE OBJECT’S SURFACE. APPLYING THE TEXTURE TO THIS SURFACE, WHILE COMPUTATIONALLY EXPENSIVE, PRODUCES A SENSE OF DEPTH FAR SUPERIOR TO SIMPLE TEXTURE MAPPING. BUMP MAPPING (LEFT) ALTERS THE SURFACE’S NORMAL VECTOR, WHILE DISPLACEMENT MAPPING (RIGHT) ALTERS THE SURFACE ITSELF.

BUMP MAPPING CS 482 – FALL 2014 INTACT SILHOUETTE OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 153 BUMP MAPPING BASICALLY APPLIES A PATTERN OF PERTURBATIONS TO THE NORMAL VECTORS ON THE SURFACE OF THE OBJECT BEING RENDERED.  = WHEN AN ILLUMINATION MODEL (E.G., PHONG SHADING) IS APPLIED WITH THESE ALTERED NORMAL VECTORS, THE APPEARANCE OF A RICH, DETAILED TEXTURE RESULTS.

BUMP MAPPING CS 482 – FALL 2014 DISPLACEMENT MAPPING OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 154 DISPLACEMENT MAPPING, WHICH ACTUALLY ALTERS THE OBJECT’S UNDERLYING GRID TO IMPLEMENT THE 3D SURFACE DETAILS, ELIMINATING THE SILHOUETTE INCONSISTENCIES, BUT GREATLY INCREASING THE PROCESSING COST.

ENVIRONMENT MAPPING CS 482 – FALL 2014 SPHERICAL MAPPING OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 155 TO PRODUCE AN EFFECT THAT APPEARS LIKE 3D REFLECTION, ENVIRONMENT MAPPING PROJECTS THE SURROUNDING ENVIRONMENT ONTO A 2D IMAGE AND THEN TEXTURE MAPS THAT RESULT ONTO THE “REFLECTIVE” OBJECT. CROSS-SECTION OF ENVIRONMENT, WITH FRONT ON THE RIGHT AND REAR ON THE LEFT WITH SPHERICAL MAPPING, THE ENTIRE ENVIRONMENT IS MAPPED TO A RADIUS- ONE DISK (THE FRONT TO THE INNER CORE OF THE DISK AND THE REAR TO THE OUTER RING). BAD NEWS: THE ENTIRE PERIMETER OF THE SPHERE MAP IS MAPPED TO A “SINGULARITY” ON THE FAR SIDE OF THE OBJECT.

ENVIRONMENT MAPPING CS 482 – FALL 2014 LATITUDE MAPPING OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 156 WITH LATITUDE MAPPING, THE SPHERE IS TREATED LIKE A GLOBE AND MAPPED FROM 3D TO 2D VIA LONGITUDES AND LATITUDES. BAD NEWS: THERE IS STILL A SEAM WHERE THE LEFT AND RIGHT EDGES OF THE TEXTURE MAP MEET WHEN MAPPED TO THE OBJECT.

ENVIRONMENT MAPPING CS 482 – FALL 2014 CUBE MAPPING OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 157 IN CUBE MAPPING, SIX TEXTURES ARE CREATED FROM EACH POSITIVE AND NEGATIVE CARTESIAN DIRECTION SURROUNDING THE OBJECT. BAD NEWS: PARTICULAR FACETS OF THE OBJECT MIGHT REQUIRE UP TO THREE RENDERINGS (E.G., FRONT, RIGHT, AND BOTTOM) TO ENSURE THAT ALL FACES HIT BY THE REFLECTION RAYS ARE DISPLAYED.

PROCEDURAL TEXTURING CS 482 – FALL 2014 PERLIN NOISE OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 158 CERTAIN TEXTURES IN NATURE (CLOUDS, MARBLE, STREAMS, ETC.) TEND TO FOLLOW A PSEUDORANDOM PATTERN THAT MAY BE SIMULATED BY MEANS OF NOISE FUNCTIONS. A SET OF PSEUDORANDOM VALUES ARE GENERATED AT SET INTERVALS. A CONTINUOUS CURVE IS GENERATED BY SMOOTHLY INTERPOLATING BETWEEN THESE VALUES. SEVERAL CURVES LIKE THIS ARE GENERATED, EACH WITH CERTAIN RESTRICTIONS ON THE AMPLITUDE (THE DIFFERENCE BETWEEN THE MINIMUM AND MAXIMUM VALUES GENERATED) AND THE WAVELENGTH (THE INTERVAL GAP). SUMMING THESE CURVES YIELDS THE FINAL NOISE FUNCTION.

PROCEDURAL TEXTURING CS 482 – FALL 2014 NOISE TEXTURES OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 159 EXTENDING THE GENERATING OF A NOISE FUNCTION TO TWO DIMENSIONS YIELDS INTERESTING AND USEFUL TEXTURES =

PROCEDURAL TEXTURING CS 482 – FALL 2014 TEXTURE SYNTHESIS OCTOBER 6, 2014: TEXTURE MAPPINGPAGE 160 TO SYNTHESIZE A LARGER IMAGE THAT FOLLOWS THE SAME PATTERN AS A GIVEN SMALLER IMAGE, START WITH A NOISY IMAGE OF THE DESIRED SIZE. REPLACE EACH PIXEL IN THE NEW IMAGE BY LOOKING AT ITS ALREADY COLORED NEIGHBORS, FINDING A PIXEL IN THE ORIGINAL IMAGE WITH THE CLOSEST PATTERN OF NEIGHBORS, AND COLORING THE NEW PIXEL WITH THAT OLD PIXEL’S COLOR.