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In the provided illustration, the range \( R \)is determined by a combination of lists of radii (e.g., \(r_1, r_2, \ldots\)) and heights (e.g., \(h_1, h_2, \ldots\)).
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In the provided illustration, the range $R$ is determined by a combination of lists of radii (e.g., $r_1, r_2, \ldots$) and heights (e.g., $h_1, h_2, \ldots$).
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For example,
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- the number of CAR in range \(R = (r_1, h_1)\) equals 1
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- the number of CAR in range \(R = (r_1, h_2)\) equals 2
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- the number of CAR in range \(R = (r_2, h_1)\) equals 3
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- the number of CAR in range \(R = (r_2, h_2)\) equals 4
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- the number of CAR in range $R = (r_1, h_1)$ equals 1
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- the number of CAR in range $R = (r_1, h_2)$ equals 2
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- the number of CAR in range $R = (r_2, h_1)$ equals 3
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- the number of CAR in range $R = (r_2, h_2)$ equals 4
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#### Total Object Count
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@@ -118,10 +118,10 @@ $$
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where:
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-\( \bigcup\)represents the union across all frames from \(t = 0\)to \( T\_{\text{now}}\), which ensures that each uuid is counted only once.
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-\( \text{class}(t, \text{uuid}) = C\)specifies that the object with uuid at time \( t \)belongs to class \( C \).
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-\( \text{position}(t, \text{uuid}) \in R\)indicates that the object with uuid at time \( t \)is within the specified range \( R \).
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-\( \left| \{ \ldots \} \right|\) denotes the cardinality of the set, which counts the number of unique uuids that meet the class and range criteria across all considered times.
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-$\bigcup$ represents the union across all frames from $t = 0$ to $T_{\text{now}}$, which ensures that each uuid is counted only once.
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-$\text{class}(t, \text{uuid}) = C$ specifies that the object with uuid at time $t$ belongs to class $C$.
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-$\text{position}(t, \text{uuid}) \in R$ indicates that the object with uuid at time $t$ is within the specified range $R$.
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-$\left| \{ \ldots \} \right|$ denotes the cardinality of the set, which counts the number of unique uuids that meet the class and range criteria across all considered times.
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#### Average Object Count
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@@ -135,8 +135,8 @@ $$
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where:
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-\( N \)represents the total number of frames within the time period time to \(T\_{\text{now}}\) (it is precisely `detection_count_purge_seconds`)
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-\(\text{object}\) denotes the number of objects that meet the class and range criteria at time \( t \).
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-$N$ represents the total number of frames within the time period time to $T\_{\text{now}}$ (it is precisely `detection_count_purge_seconds`)
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-$text{object}$ denotes the number of objects that meet the class and range criteria at time $t$.
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#### Interval Object Count
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@@ -150,8 +150,8 @@ $$
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where:
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-\( W \) represents the total number of frames within the last `objects_count_window_seconds`.
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-\(T_W\) represents the time window `objects_count_window_seconds`
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-$W$ represents the total number of frames within the last `objects_count_window_seconds`.
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-$T_W$ represents the time window `objects_count_window_seconds`
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