2000年10月
A VLSI algorithm for computing the Euclidean norm of a 3D vector
IEEE TRANSACTIONS ON COMPUTERS
- ,
- 巻
- 49
- 号
- 10
- 開始ページ
- 1074
- 終了ページ
- 1082
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1109/12.888043
- 出版者・発行元
- IEEE COMPUTER SOC
A digit-recurrence algorithm for computing the Euclidean norm of a three-dimensional (3D) vector which often appears in 3D computer graphics is proposed. One of the three squarings required for the usual computation is removed and the other two squarings, as well as the two additions, are overlapped with the square rooting. The Euclidean norm is computed by iteration of carry-propagation-free additions, shifts, and multiplications by one digit. Different specific versions of the algorithm are possible, depending on the radix, the redundancy factor of the digit set, and etc. Each version of the algorithm can be implemented as a sequential (folded) circuit or a combinational (unfolded) circuit, which has a regular array structure suitable for VLSI.
- リンク情報
- ID情報
-
- DOI : 10.1109/12.888043
- ISSN : 0018-9340
- Web of Science ID : WOS:000090060800007