Splines on Surfaces Export

@misc{citeulike:6031738, abstract = {Introduction Thus far in this book we have mostly encountered spline curves and surfaces whose parameter domains are subsets of the real line or the Euclidean plane. In particular, in several chapters of this book we got accustomed to the idea that a spline surface is the graph of a bivariate real-valued function or, alternatively, a parametric surface, which is the image of a planar domain under a vector function, or a collection of such functions. The parametric or free-form surfaces that are typically considered in the CAGD literature are composite surfaces consisting of a collection of individual surface patches of the form f i (S i ), where each of these corresponds to a three-component vector function f i : S i ! IR 3 ; i = 1; : : : ; N; (1) whose domain S i is a \&\#034;simple\&\#034; planar region, such as the standard triang}, author = {Neamtu, Marian}, citeulike-article-id = {6031738}, citeulike-linkout-0 = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.3730}, keywords = {phd}, posted-at = {2009-10-29 10:56:59}, priority = {2}, title = {Splines on Surfaces}, url = {http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.3730}, year = {2001} }

TY - ELEC ID - citeulike:6031738 L3 - citeulike-article-id:6031738 N2 - Introduction Thus far in this book we have mostly encountered spline curves and surfaces whose parameter domains are subsets of the real line or the Euclidean plane. In particular, in several chapters of this book we got accustomed to the idea that a spline surface is the graph of a bivariate real-valued function or, alternatively, a parametric surface, which is the image of a planar domain under a vector function, or a collection of such functions. The parametric or free-form surfaces that are typically considered in the CAGD literature are composite surfaces consisting of a collection of individual surface patches of the form f i (S i ), where each of these corresponds to a three-component vector function f i : S i ! IR 3 ; i = 1; : : : ; N; (1) whose domain S i is a "simple" planar region, such as the standard triang TI - Splines on Surfaces KW - phd AU - Neamtu, Marian PY - 2001/// UR - http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.3730 ER -