GOLF BALL DIMPLE PROFILE
Golf ball dimples having a cross-sectional profile shape defined by the product of a base profile and one or more weighting functions are disclosed.
1 . A golf ball having a plurality of recessed dimples on the surface thereof, wherein at least a portion of the recessed dimples have a cross-sectional profile defined by a weighted function, wherein the weighted function is the multiplication of a single continuous, differentiable function of a base dimple profile and at least one weighting function selected from the group consisting of polynomial, exponential, and trigonometric functions, the weighted function resulting in a cross-sectional weighted dimple profile,
wherein dimple diameter of the base dimple profile and the weighted dimple profile is substantially the same, while edge angle or volume or dimple chord depth of the base dimple profile and the weighted dimple profile are different.
2 . The golf ball of claim 1 , wherein edge angle, volume and chord depth of the base dimple profile and the weighted dimple profile are different.
3 . The golf ball of claim 1 , wherein the dimple chord depth of the base dimple profile and the weighted dimple profile are different and the edge angle and the volume of the base dimple profile and the weighted dimple profile are the same.
4 . The golf ball of claim 1 , wherein the edge angle of the base dimple profile and the weighted dimple profile are different and the volume and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
5 . The golf ball of claim 1 , wherein the edge angle and the dimple chord depth of the base dimple profile and the weighted dimple profile are different, and the volume of the base dimple profile and the weighed dimple profile are the same.
6 . The golf ball of claim 1 , wherein the volume and the dimple chord depth of the base dimple profile and the weighted dimple profile are different and the edge angle of the base dimple profile and the weighted dimple profile are the same.
7 . The golf ball of claim 1 , wherein the edge angle and volume of the base dimple profile and the weighted dimple profile are different and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
8 . The golf ball of claim 1 , wherein the volume of the base dimple profile and the weighted dimple profile are different and the edge angle and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
9 . The golf ball of claim 1 , wherein the single, continuous differentiable function is selected from the group consisting of spherical, catenary, elliptical, and polynomial functions.
10 . The golf ball of claim 1 , wherein the single, continuous differentiable function is selected from the group consisting of Witch of Agnesi, frequency, and trigonometric functions.
11 . The golf ball of claim 1 , wherein the weighted function is the multiplication of the single, continuous differentiable function and a linear combination of two or more weighting functions.
12 . The golf ball of claim 1 , wherein the weighted function is a continuous, differentiable function.
13 . A golf ball having a plurality of recessed dimples on the surface thereof, wherein at least a portion of the recessed dimples have a cross-sectional profile defined by a weighted function, wherein the weighted function is the multiplication of a single continuous, differentiable function of a base dimple profile and at least one weighting function selected from the group consisting of polynomial, exponential, and trigonometric functions, the weighted function resulting in a cross-sectional weighted dimple profile,
wherein dimple diameter, or edge angle or volume or dimple chord depth of the base dimple profile and the weighted dimple profile are substantially the same.
14 . The golf ball of claim 13 , wherein edge angle, volume and chord depth of the base dimple profile and the weighted dimple profile are the same and the dimple profile shape of the base dimple profile and the weighed dimple profile is different.
15 . The golf ball of claim 13 , wherein the dimple chord depth of the base dimple profile and the weighted dimple profile are different and the edge angle and the volume of the base dimple profile and the weighted dimple profile are the same.
16 . The golf ball of claim 13 , wherein the edge angle of the base dimple profile and the weighted dimple profile are different and the volume and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
17 . The golf ball of claim 13 , wherein both the edge angle and the dimple chord depth of the base dimple profile and the weighted dimple profile are different, and the volume of the base dimple profile and the weighed dimple profile are the same.
18 . The golf ball of claim 13 , wherein the volume and the dimple chord depth of the base dimple profile and the weighted dimple profile are different and the edge angle of the base dimple profile and the weighted dimple profile are the same.
19 . The golf ball of claim 13 , wherein the edge angle and volume of the base dimple profile and the weighted dimple profile are different and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
20 . The golf ball of claim 13 , wherein the volume of the base dimple profile and the weighted dimple profile are different and the edge angle and the dimple chord depth of the base dimple profile and the weighted dimple profile are the same.
21 . The golf ball of claim 13 , wherein the single, continuous differentiable function is selected from the group consisting of spherical, catenary, elliptical, and polynomial functions.
22 . The golf ball of claim 13 , wherein the single, continuous differentiable function is selected from the group consisting of Witch of Agnesi, frequency, and trigonometric functions.
23 . The golf ball of claim 13 , wherein the weighted function is the multiplication of the single, continuous differentiable function and a linear combination of two or more weighting functions.
24 . The golf ball of claim 13 , wherein the weighted function is a continuous, differentiable function.