GPG 5권 2부 참고자료

2.1 컴퓨터 그래픽에 기하대수 사용하기

• [Dorst-Fontijne04] Dorst, Leo 및 Daniel Fontijne. “An Algebraic Foundation for Object-Oriented Euclidean Geometry.” 준비중임. 웹 주소 http://www.science.uva.nl/ga/publications/itm.pdf.
• [Dorst-Mann02a] Dorst, Leo 및 Stephen Mann, Stephen. “Geometric Algebra: a computational framework for geometrical applications (part 1: algebra),” IEEE Computer Graphics and Applications, May/June 2002. 웹 주소 http://www.science.uva.nl/~leo/clifford/dorst-mann-I.pdf.
• [Dorst-Mann02b] Dorst, Leo 및 Stephen Mann, Stephen. “Geometric Algebra: a computational framework for geometrical applications (part 2: applications).” IEEE Computer Graphics and Applications, July/August 2002. 웹 주소 http://www.science.uva.nl/~leo/clifford/dorst-mann-II.pdf .
• [Gaigen] A C++ Library to generate geometric algebras. 웹 주소 http://www.science.uva.nl/ga/gaigen/index.html.
• [Hestenes86] Hestenes, David. New Foundations for Classical Mechanics. Dordrecht: Kluwer Academic Publishing, 1986.
• [Hestenes98] Hestenes, David. New Foundations for Mathematical Physics. 두 챕터를 http://modelingnts.la.asu.edu/html/NFMP.html에서 볼 수 있다.
• [Suter03] Suter, Jaap. “Geometric Algebra Primer.” 웹 주소 http://www.jaapsuter.com/.

2.2 최소 가속 에르미트 곡선

• [Burden89] R. L. Burden, J.D. Faires. Numerical Analysis, 439, 440. Boston: PWS-KENT Publishing Company, 1989.
• [Foley97] Foley, J. D. 외. Computer Graphics: Principles and Practice, 2nd ed, 480, Addison Wesley, 1997.
• [Hearn04] D. Hearn, M.P Baker. Computer Graphics with OpenGL, 426-429. Pearson Education Inc., 2004.
• [Lengyel04] E. Lengyel. Mathematics for 3D Game Programming and Computer Graphics, 2nd ed, 433-436. Charles River Media, 2004. 번역서는 3D 게임 프로그래밍과 컴퓨터 그래픽을 위한 수학 제2판, 정보문화사, 2004.
• [Overveld97] C.W.A.M. van Overveld, B.Wyvill. “An algorithm for polygon subdivision based on vertex normals,” Computer Graphics International, 3-12. June 23-27, 1997.
• [Press92] W. H. Press 외. Numerical Recipes in C, 74-75. Cambridge University Press, 1992.
• [Vlachos01] A. Vlachos, J. Isidoro. “Smooth Quaternion-based Flythrough Paths.”, In Game Programming Gems 2 (Mark Deloura, ed.), 220-227. Charles River Media, 2001. 번역서는 “매끄러운 사원수 기반의 공간 이동 경로,” Game Programming Gems 2, 정보문화사, 2002.

2.3 스플라인 기반 애니메이션 제어

• [Burden93] Burden, Richard L. 및 J. Douglas Faires, J. Douglas. Numerical Analysis. PWS Publishing Company, 1993.
• [Eberly01] Eberly, David. “Moving at Constant Speed.” 웹 주소 http://www.magic-software.com. January 2001.
• [Krome04] Lowe, Thomas. “Critically Damped Ease-In/Ease-Out Smoothing.” Game Programming Gems 4, 95-101. Charles River, 2004: pp. 95-101. 번역서는 “임계 감쇠식 가속/감속 평활화,” L Game Programming Gems 4, 정보문화사, 2005
• [Olsen00] Olsen, John. “Interpolation Methods”, Game Programming Gems, 141-149. Charles River, 2000. 번역서는 “보간법,” Game Programming Gems, 정보문화사, 2000.
• [Parent02] Parent, Rick. Computer Animation: Algorithms and Techniques. Morgan Kaufmann Publishers, 2002.
• [Rogers90] Rogers, David F. 및 J. Alan Adams, J. Alan. Mathematical Elements for Computer Graphics. McGraw-Hill, 1993.
• [VanVerth04] Van Verth, James M. 및 Lars M. Bishop. Essential Mathematics for Games and Interactive Applications. Morgan Kaufmann Publishers, 2004.

2.4 근사를 이용한 더 빠른 사원수 보간

• [Hejl04] Hejl, Jim. “Hardware Skinning with Quaternions”, Games Programming Gems 4, 5.12. Charles River Media, 2004. 번역서는 “사원수를 이용한 하드웨어 스키닝,” Game Programming Gems 4, 정보문화사, 2005
• [Rich02] Richards, D. Advanced Mathematical Methods with Maple.
• [Shoe85] Shoemake, Ken. ACM SIGGRAPH, 1985.

2.5 최소최대 수치 근사

• [Math] http://mathworld.wolfram.com/Root-FindingAlgorithm.html.

2.6 거울과 포탈을 위한 비표준 시야 절두체

• [Leng04] Eric Lengyel, Eric. “Oblique View Frustum Depth Projection and Clipping.” Journal of Game Development, Vol. 1, No 2, 2005.