CAJ | 학술논문

三次Timmer曲线能够插值的控制多边形中间控制边的中点，但它却不能保证与该控制边相切，且三次Tim-mer曲线不具有凸包性。针对于此，提出了一类曲线（称之拟Timmer曲线），拟Timmer曲线不仅具有与Timmer曲线所类似的性质，而且具有凸包性，且能够插值中间控制边的中点，并与之相切。
삼차Timmer곡선능구삽치적공제다변형중간공제변적중점，단타각불능보증여해공제변상절，차삼차Tim-mer곡선불구유철포성。침대우차，제출료일류곡선（칭지의Timmer곡선），의Timmer곡선불부구유여Timmer곡선소유사적성질，이차구유철포성，차능구삽치중간공제변적중점，병여지상절。
The cubic Timmer curve can interpolate the midpoint of the intermediate control edge of the control polygon, however, it can not tangent the control edge. And the cubic Timmer curve does not possess the convex hull property. In response to these flaws, this paper proposes one kind of curve(call it Timmer-like curve). The Timmer-like curve not only possesses some properties as the Timmer curve, but possesses the convex hull property, interpolates the midpoint of the second control edge of the control polygon, and the second control edge tangents the midpoint of the second control edge of the control polygon.