CSE 5256 Advanced Computer Graphics
Spring 1998 Homework #1

  1. Given data points tex2html_wrap_inline18 , tex2html_wrap_inline20 , tex2html_wrap_inline22 , and tex2html_wrap_inline24 , find a polynomial that interpolates the data at tex2html_wrap_inline26 , tex2html_wrap_inline28 , tex2html_wrap_inline30 , and tex2html_wrap_inline32 .
  2. How does the polynomial change if tex2html_wrap_inline34 , tex2html_wrap_inline36 , tex2html_wrap_inline38 , and tex2html_wrap_inline40 ?
  3. Find a polynomial that interpolates both data tex2html_wrap_inline18 , tex2html_wrap_inline20 and derivatives tex2html_wrap_inline46 , tex2html_wrap_inline48 at tex2html_wrap_inline26 , tex2html_wrap_inline28 .
  4. Show how to smoothly extend the above curve so that it interpolates the data tex2html_wrap_inline22 , tex2html_wrap_inline56 at tex2html_wrap_inline30 as well. You curve should have tex2html_wrap_inline60 continuity at the join.


Florida Tech Computer Science

William D. Shoaff
Comments to author:wds@cs.fit.edu

All contents copyright ©, William D. Shoaff
Revised: Mon Jan 19 16:16:07 EST 1998