Device and method for intraoperative reconstruction of bone 3d models
US-2024394982-A1 · Nov 28, 2024 · US
US9830733B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-9830733-B2 |
| Application number | US-201514690708-A |
| Country | US |
| Kind code | B2 |
| Filing date | Apr 20, 2015 |
| Priority date | Sep 18, 2014 |
| Publication date | Nov 28, 2017 |
| Grant date | Nov 28, 2017 |
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A method and apparatus to perform a ray-node intersection test are provided. The method includes receiving an input representing coordinates of a bounding box and an origin coordinate of a ray as fixed-point numbers, obtaining difference values between the input coordinates of the bounding box and the origin coordinate, and obtaining multiplication values between the obtained difference values and a reciprocal number of a direction vector of the ray, where the reciprocal number is a floating-point number.
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What is claimed: 1. A method of performing a ray-node intersection test, the method comprising: generating a ray in a rendering scene; tracing a path of the ray in an acceleration structure comprising nodes; and performing the ray-node intersection test to locate a node that intersects the ray, wherein the ray-node intersection test comprises: receiving an input comprising fixed-point numbers representing coordinates of a bounding box and an origin coordinate of the ray; obtaining difference values between the input coordinates of the bounding box and the input origin coordinate; and obtaining multiplication values between the obtained difference values and a reciprocal number of a direction vector of the ray, wherein the reciprocal number is a floating-point number, and wherein the obtaining of the multiplication values comprises: obtaining an added value by adding a predetermined value to a mantissa of the reciprocal number; determining a sign of the added value; and obtaining multiplication values between the added value to which the determined sign is applied and the differences values. 2. The method of claim 1 , wherein the receiving of the input comprises receiving an input comprising a fixed-point number representing a maximum value among the coordinates of the bounding box, wherein the obtaining of the difference values comprises obtaining a difference value between the maximum value and the origin coordinate, and wherein the obtaining of the multiplication values comprises obtaining a multiplication value between the obtained difference value between the maximum value and the origin coordinate and the reciprocal number of a direction vector of the ray. 3. The method of claim 1 , wherein the receiving of the input comprises receiving input comprising a fixed-point number representing a minimum value among the coordinates of the bounding box, wherein the obtaining of the difference values comprises obtaining a difference value between the minimum value and the input origin coordinate, and wherein the obtaining of the multiplication values comprises obtaining a multiplication value between the obtained difference value between the minimum value and the origin coordinate and the reciprocal number of a direction vector of the ray. 4. The method of claim 1 , further comprising shifting the multiplication values by a predetermined number of positions. 5. The method of claim 4 , wherein the shifting is performed by using an exponent of the reciprocal number, exponents of the difference values, exponents of the multiplication values, and a bit number of the mantissa of the reciprocal number. 6. The method of claim 4 , wherein the shifted multiplication values are fixed-point numbers. 7. The method of claim 1 , wherein the predetermined value is set by using a bit number of the mantissa of the reciprocal number that is a floating-point number. 8. The method of claim 1 , wherein the obtaining of the multiplication values comprises determining the sign by using a sign bit of the reciprocal number. 9. An apparatus for performing a ray-node intersection test, the apparatus comprising: a ray generator configured to generate a ray in a rendering scene; and an acceleration structure traverser configured to trace a path of the ray in an acceleration structure comprising nodes, and to perform the ray-node intersection test to locate a node that intersects the ray, wherein the acceleration structure traverser further comprises an input unit configured to receive an input comprising fixed-point numbers representing coordinates of a bounding box and an origin coordinate of the ray; a difference value obtaining unit configured to obtain difference values between the input coordinates of the bounding box and the input origin coordinate; and a multiplication value obtaining unit configured to obtain multiplication values between the obtained difference values and a reciprocal number of a direction vector of the ray, wherein the reciprocal number is a floating-point number, and wherein the obtaining of the multiplication values comprises: obtaining an added value by adding a predetermined value to a mantissa of the reciprocal number; determining a sign of the added value; and obtaining multiplication values between the added value to which the determined sign is applied and the differences values. 10. The apparatus of claim 9 , wherein the input unit receives an input comprising a fixed-point number representing a maximum value among the coordinates of the bounding box, wherein the difference value obtaining unit obtains a difference value between the maximum value and the input origin coordinate, and wherein the multiplication value obtaining unit obtains a multiplication value between the obtained difference value between the maximum value and the origin coordinate and the reciprocal number of a direction vector of the ray. 11. The apparatus of claim 9 , wherein the input unit receives an input comprising a fixed-point number representing a minimum value among the coordinates of the bounding box, wherein the difference value obtaining unit obtains a difference value between the minimum value and the input origin coordinate, and wherein the multiplication value obtaining unit obtains a multiplication value between the obtained difference value between the minimum value and the origin coordinate and the reciprocal number of a direction vector of the ray. 12. The apparatus of claim 9 , further comprising a shifting unit that shifts the multiplication values by a predetermined number of positions. 13. The apparatus of claim 12 , wherein the shifting unit performs shifting by using an exponent of the reciprocal number, exponents of the difference values, exponents of the multiplication values, and a bit number of the mantissa of the reciprocal number. 14. The apparatus of claim 12 , wherein the shifted multiplication values are fixed-point numbers. 15. The apparatus of claim 9 , wherein the predetermined value is set by using a bit number of the mantissa of the reciprocal number that is a floating-point number. 16. The apparatus of claim 9 , wherein the multiplication value obtaining unit determines the sign by using a sign bit of the reciprocal number. 17. A non-transitory computer readable medium comprising instructions that, when executed by a computer, cause a processor to perform a method of a ray-node intersection test, the method comprising: generating a ray in a rendering scene; tracing a path of the ray in an acceleration structure comprising nodes; and performing the ray-node intersection test to locate a node that intersects the ray, wherein the ray-node intersection test comprises receiving an input comprising coordinates of a bounding box and an origin coordinate of the ray; obtaining difference values between the input coordinates of a bounding box and the input origin coordinate of the ray, wherein the coordinates are fixed-point numbers, and obtaining multiplication values between the obtained difference values and a reciprocal number of a direction vector of the ray, wherein the reciprocal number is a floating-point number, wherein the obtaining of the multiplication values comprises: obtaining an added value by adding a predetermined value to a mantissa of the reciprocal number; determining a sign of the added value; and obtaining multiplication values between the added value to which the determined sign is applied and the difference values.
Ray-tracing · CPC title
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