Apparatus and method for generating a figure by sequential segment approximation of a parametric cubic curve
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United States of America Patent
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Nov 30, 1993
Grant Date -
N/A
app pub date -
Sep 22, 1989
filing date -
Sep 30, 1988
priority date (Note) -
Expired
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Abstract
A figure generating apparatus for approximating in a rectangular coordinates system and by line segments a curve which is defined by a parametric cubic curve that includes a parameter, thereby generating a figure in the form of consecutive line segments. A calculator calculates, by using a distance evaluation formula, a distance between a midpoint of a line segment connecting one point of a curve and another point of the same curve which is defined by incrementing a parameter by a first predetermined value, and the maximum point representative of the maximum in a part of the curve which is associated with the line segment relative to the line segment. A shifter is loaded with a value produced by the calculator for shifting the value. A controller controls, when provided with the curve, the shifter such that the shifter shifts the value loaded therein to the greatest value which does not exceed a second predetermined value after the shift, and controls the calculator to determine a final increment of the parameter on the basis of the number of shifts executed by the shifter and the first predetermined value so as to determine a position of the other point in the rectangular coordinates system by using the determined increment. The controller determines the position of the other point of each of individual line segments in the rectangular coordinates system sequentially from the start point to the end point of the curve, and generates a figure on the basis of the determined positions.
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- 15 United States
- 10 France
- 8 Japan
- 7 China
- 5 Korea
- 2 Other
Patent Owner(s)
- OKI ELECTRIC INDUSTRY CO., LTD.
International Classification(s)
Inventor(s)
Inventor Name | Address | # of filed Patents | Total Citations |
---|---|---|---|
Matsushiro, Nobuhito | Tokyo, JP | 20 | 170 |
Ooyake, Ikuo | Tokyo, JP | 1 | 1 |
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Fee | Large entity fee | small entity fee | micro entity fee | due date |
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Fee | Large entity fee | small entity fee | micro entity fee |
---|---|---|---|
Surcharge after expiration - Late payment is unavoidable | $700.00 | $350.00 | $175.00 |
Surcharge after expiration - Late payment is unintentional | $1,640.00 | $820.00 | $410.00 |
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