Texture Mapping. Motivation. Examples Image Textures. Idea. towards more realism
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1 Texre Mapping Wireframe Model Lighing & Shading Moiaion Texre Mapping hp:// oward more realim 2 Idea Example Image Texre Add rface deail wiho raiing geomeric complexiy Texre can be image or procedre Texre can be 2D or 3D 3 Flyaic II
2 Example Image Texre Definiion of exre coordinae Srface parameerizaion Ani aliaing Texre filering Leel-of-Deail Hardware acceleraion Ie 5 6 Concep of Texre Mapping Find mapping beween differen coordinae yem Iner ranformaion from exre coordinae o image pixel Pixel coordinae Parameerizaion Find a one-o-one mapping beween gien rface and 2D parameer domain Texre coordinae rface coordinae w = xyz 7 8
3 Fndamenal concep in graphic Many differen applicaion Parameerizaion Fndamenal concep in graphic Many differen applicaion Compreion Parameerizaion Kraeoy Sheffer: Cro-Parameerizaion and Compaible Remehing of 3D Model SIGGRAPH Khodakoky Schroeder Swelden: Progreie Geomery Compreion SIGGRAPH 2000 Fndamenal concep in graphic Many differen applicaion Compreion Remehing Parameerizaion Fndamenal concep in graphic Many differen applicaion Compreion Remehing Texre Mapping Parameerizaion Alliez Cohen-Seiner Deiller Ley Debrn: Anioropic Polygonal Remehing SIGGRAPH 2003
4 13 Some Hiory Carography orhographic ereographic Lamber Mercaor preere angle = conformal preere area = eqiareal Floaer Hormann: Srface Parameerizaion: A Torial and Srey Adance in Mlireolion for Geomeric Modeling Analyical 3D Sfrace 1. Key o exre mapping: Parameerizaion z y x in co co in in phere: 2. Map parameer o exre coordinae inere: 15 Mapping a exre ono a phere Ue linear map = D C B A = 2 / / 2 / π π π 16 Example
5 Deirable Properie Addiional Ie Finding c Low diorion Bijecie mapping Texre Alae Efficienly compable 17 Ley Peijean Ray Maillo: Lea Sqare Conformal Map for Aomaic Texre Ala Generaion SIGGRAPH Conrain Texre Mapping Addiional Ie Texre Map Texre map correpond o parameerizaion Demo reched a noe ip compreed a noe ip Tim Weyrich e. al
6 Paramerized Triangle Meh Raerizaion OBJ File: n n n f 22/209/22 220/210/ /211/221 f 21/213/21 219/21/ /210/229 f 253/203/ /21/219 21/213/21 Verex poiion Texre coordinae Normal Face riangle coordnr/exnr/normalnr 21 From exre coordinae of erice o exre coordinae of pixel Linear inerpolaion in creen-pace a in Gorad hading: Image by Fredo Drand exre orce wha we ge wha we wan 22 Perpecie Inerpolaion Texre Filering Linear ariaion in world coordinae yield non-linear ariaion in creen coordinae: 0 0 projecion plane 1 1 Perpecie inerpolaion implemened in oday graphic card 23 are real pixel coordinae e.g : neare color = map[6] bi-linear color = map[63] map[73] map[6] map[7] 2
7 Texre Filering Texre Mapping in OpenGL = loadimage&exre_daa; glgentexre1 &exid; glbindtexregl_texture_2d exid; glteximage2dgl_texture_2d 0 GL_RGB w h 0 GL_RGB GL_UNSIGNED_BYTE exre_daa; n m w = 2 h = 2 glbindtexregl_texture_2d exid; glbegingl_triangles; gltexcoord2f 0 0 ; glverexx 0 y 0 z 0 ; gltexcoord2f 1 1 ; glverexx 1 y 1 z 1 ; gltexcoord2f 2 2 ; glverexx 2 y 2 z 2 ; glend; [0 1] Tor neare bi-linear 25 26
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