Method and Apparatus for Dimensional Measurement
First Claim
1. An apparatus for measuring and computing geometric dimensions, including an area of a polygon in three-space, comprising:
- a housing suitable for a human user to grip and carry the apparatus thereby;
a coherent light source that can be directed along a direction so as to illuminate a target point of interest in space;
a distance measurement element including a circuit that determines a distance from the apparatus to said target point of interest;
an angular displacement or rotational sensing element that determines an angular position of said target point of interest;
a data storage element that stores data representative of said measured distance and said angular position;
a processor that receives inputs representative of at least said distance and said angular position for said target point of interest, representative of a vector connecting said reference point and said target point of interest, said processor further comprising circuitry and instructions adapted to compute a sum of cross-products of said vector with other vectors connecting said reference point and respective other target points of interest; and
a user interface adapted to receive inputs from said human user to control said operational features of said apparatus and adapted to display a result of said sum of said cross-products representative of an area of a polygon defined by said target points of interest.
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Accused Products
Abstract
A non-contacting, out-of-plane measurement apparatus for measuring distances, angles and related geometric quantities, and for computing other quantities based on the measurements, is provided. The measurement apparatus can measure distances to target points of interest and can also measure angles therebetween, including angles with respect to at least one or two degrees of freedom so as to compute information determining vector segments between a reference point and the points of interest, then, to compute lengths and areas and volumes of objects of interest defined by the points of interest. In some cases, areas of polygons can be measured as sums of cross-products of the computed vectors to the points of interest located at the vertices of the polygons. Also, computing constituent triangular projections onto a polygon of interest using said apparatus then summing said constituent triangular projections so as to arrive at an area of said polygon. The apparatus and its methods are extendable to non-planar and three-dimensional calculations as well. In this way, the apparatus, or its user, are not required to be located at any special place or in-plane with the object (e.g., plane of a polygon) being measured.
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Citations
20 Claims
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1. An apparatus for measuring and computing geometric dimensions, including an area of a polygon in three-space, comprising:
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a housing suitable for a human user to grip and carry the apparatus thereby; a coherent light source that can be directed along a direction so as to illuminate a target point of interest in space; a distance measurement element including a circuit that determines a distance from the apparatus to said target point of interest; an angular displacement or rotational sensing element that determines an angular position of said target point of interest; a data storage element that stores data representative of said measured distance and said angular position; a processor that receives inputs representative of at least said distance and said angular position for said target point of interest, representative of a vector connecting said reference point and said target point of interest, said processor further comprising circuitry and instructions adapted to compute a sum of cross-products of said vector with other vectors connecting said reference point and respective other target points of interest; and a user interface adapted to receive inputs from said human user to control said operational features of said apparatus and adapted to display a result of said sum of said cross-products representative of an area of a polygon defined by said target points of interest. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A method for measuring an area of a polygon having a plurality of vertices in three-space that define said polygon, comprising:
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selecting a reference point in space at or with respect to which a measuring apparatus can be positioned; determining a first vector between said reference point and a first target point of interest corresponding to a first vertex of said polygon; determining a second vector between said reference point and a second target point of interest corresponding to a second vertex of said polygon; continuing to determine any other vectors to any other corresponding target points of interest corresponding to any other vertices of said polygon; storing data corresponding to any determined vector quantities in a data storage element in said measuring apparatus; executing instructions in a processing circuit in said measuring apparatus to compute a sum of cross-products of respective determined vectors so as to compute an area of said polygon; and delivering an output from said processing circuit representing said area of said polygon. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19)
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20. An apparatus for measuring and computing geometric dimensions, including an area of a polygon in three-space, comprising:
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a housing suitable for a human user to grip and carry the apparatus thereby; a visible light source that can be directed along a direction so as to illuminate a target point of interest in space; a distance measurement element including a circuit that determines a distance from the apparatus to said target point of interest; an angular displacement or rotational sensing element that determines an angular position of said target point of interest; a data storage element that stores data representative of said measured distance and said angular position; a processor that receives inputs representative of at least said distance and said angular position for said target point of interest, and that receives inputs representative of respective locations of other points of interest, said processor being programmed and arranged to compute and output a projected area being in a plane of said polygon, said processor further being programmed and arranged to compute a sum of such said projected area and other such projected areas onto said plane of said polygon; and a user interface adapted to receive inputs from said human user to control said operational features of said apparatus and adapted to display a result of said sum of said projected areas corresponding to a total area of said polygon defined by said points of interest.
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Specification