A survey of partial differential equations in geometric design Export

@article{citeulike:4131489, abstract = {Abstract\ \ Computer-aided geometric design is an area where the improvement of surface generation techniques is an everlasting demand, since faster and more accurate geometric models are required. Traditional methods for generating surfaces were initially mainly based upon interpolation algorithms. Recently, partial differential equations (PDE) were introduced as a valuable tool for geometric modelling, since they offer a number of features from which these areas can benefit. This work summarizes the uses given to PDE surfaces as a surface generation technique together with some other applications to computer graphics.}, author = {Gonz\'{a}lez and Ugail, Hassan and Willis, Philip and Palmer, Ian}, citeulike-article-id = {4131489}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s00371-007-0190-z}, citeulike-linkout-1 = {http://www.springerlink.com/content/d861p5727q615493}, day = {26}, doi = {10.1007/s00371-007-0190-z}, journal = {The Visual Computer}, keywords = {3d, geometry, pde, surface}, month = {March}, number = {3}, pages = {213--225}, posted-at = {2009-03-04 09:38:34}, priority = {2}, title = {A survey of partial differential equations in geometric design}, url = {http://dx.doi.org/10.1007/s00371-007-0190-z}, volume = {24}, year = {2008} }

TY - JOUR ID - citeulike:4131489 L3 - citeulike-article-id:4131489 N2 - Abstract  Computer-aided geometric design is an area where the improvement of surface generation techniques is an everlasting demand, since faster and more accurate geometric models are required. Traditional methods for generating surfaces were initially mainly based upon interpolation algorithms. Recently, partial differential equations (PDE) were introduced as a valuable tool for geometric modelling, since they offer a number of features from which these areas can benefit. This work summarizes the uses given to PDE surfaces as a surface generation technique together with some other applications to computer graphics. IS - 3 JF - The Visual Computer EP - 225 TI - A survey of partial differential equations in geometric design VL - 24 SP - 213 KW - 3d KW - geometry KW - pde KW - surface AU - González AU - Ugail, Hassan AU - Willis, Philip AU - Palmer, Ian PY - 2008/03/26/ UR - http://dx.doi.org/10.1007/s00371-007-0190-z ER -