Abstract: Techniques are disclosed for enabling scaling graphical elements defined based on one or more mathematical functions, while retaining certain features of the graphical elements. In various embodiments an example method may include defining a shape relative to a primitive object based on one or more functions, the shape including a feature based on a configurable parameter associated with the one or more functions. An image of the shape is then rendered and displayed via a display device. The example method continues with receiving an input indicative of a request to scale the shape. In response to receiving the input, the rendering and display of the image of the shape is dynamically updated by scaling the primitive object based on the input, wherein scaling the primitive object scales the shape, but retains a scale of the feature as set by the configurable parameter.

Abstract: An electronic system for displaying visual information to a user includes a head-mounted display (HMD) including a near-eye display (NED), a microprocessor in data communication with the NED, and a storage device in data communication with the microprocessor. The storage device has instructions stored thereon that, when executed by the microprocessor, cause the microprocessor to perform a method. The method includes identifying an origin point and target point and calculating an object distance between the origin point and the target point in three-dimensional space. The target point is part of a virtual object that is procedurally generated. The object distance is used to adjust a threshold value of a distance test. The method further includes determining a shader value for the target point and applying a shader to the target point to create a shaded virtual object. The shaded virtual object is then displayed to the user with the NED.

Abstract: Techniques are disclosed for producing an anti-aliasing effect in the rendering of graphical elements defined based on one or more mathematical functions. In various embodiments an example method may include defining a shape based on one or more functions. A view of the shape is then rendered which includes generating a plurality of fragments corresponding to pixels in a display device through which the view will be displayed. Transparency values are set for fragments corresponding to a boundary of the shape based on the one or more functions defining the shape. The transparency values set for the fragments corresponding to the boundary of the shape result in an anti-aliasing effect when the view of the shape is displayed via the display device.

Abstract: An electronic system for displaying visual information to a user includes a head-mounted display (HMD) including a near-eye display (NED), a microprocessor in data communication with the NED, and a storage device in data communication with the microprocessor. The storage device has instructions stored thereon that, when executed by the microprocessor, cause the microprocessor to perform a method. The method includes identifying an origin point and target point and calculating an object distance between the origin point and the target point in three-dimensional space. The target point is part of a virtual object that is procedurally generated. The object distance is used to adjust a threshold value of a distance test. The method further includes determining a shader value for the target point and applying a shader to the target point to create a shaded virtual object. The shaded virtual object is then displayed to the user with the NED.

Abstract: Techniques are disclosed for producing an anti-aliasing effect in the rendering of graphical elements defined based on one or more mathematical functions. In various embodiments an example method may include defining a shape based on one or more functions. A view of the shape is then rendered which includes generating a plurality of fragments corresponding to pixels in a display device through which the view will be displayed. Transparency values are set for fragments corresponding to a boundary of the shape based on the one or more functions defining the shape. The transparency values set for the fragments corresponding to the boundary of the shape result in an anti-aliasing effect when the view of the shape is displayed via the display device.

Abstract: Techniques are disclosed for enabling scaling graphical elements defined based on one or more mathematical functions, while retaining certain features of the graphical elements. In various embodiments an example method may include defining a shape relative to a primitive object based on one or more functions, the shape including a feature based on a configurable parameter associated with the one or more functions. An image of the shape is then rendered and displayed via a display device. The example method continues with receiving an input indicative of a request to scale the shape. In response to receiving the input, the rendering and display of the image of the shape is dynamically updated by scaling the primitive object based on the input, wherein scaling the primitive object scales the shape, but retains a scale of the feature as set by the configurable parameter.